TL;DR
This paper explores how large-N SU(N) Yang-Mills theory models a dynamical membrane, connecting matrix models to M-theory and analyzing its spectrum under spherical symmetry.
Contribution
It demonstrates that the large-N limit of quenched SU(N) Yang-Mills corresponds to a membrane described by a Moyal-deformed p-brane action.
Findings
The reduced action resembles M-theory matrix models.
The membrane's mass spectrum is computed in the WKB approximation.
The model provides a bridge between gauge theories and membrane dynamics.
Abstract
In this paper we study spatially quenched, SU(N) Yang-Mills theory in the large-N limit. The resulting reduced action shows the same formal look as the Banks-Fischler-Shenker-Susskind M-theory action. The Weyl-Wigner-Moyal symbol of this matrix model is the Moyal deformation of a p(=2)-brane action. Thus, the large-N limit of the spatially quenched SU(N) Yang-Mills is seen to describe a dynamical membrane. By assuming spherical symmetry we compute the mass spectrum of this object in the WKB approximation.
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